Abstract
Until now, we have considered the vacuum to be an ‘empty’ state with all quantum numbers zero. In the following section, we replace that ‘empty’ vacuum state with some macroscopic background, which may in general be inhomogeneous and incoherent.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
E. Calzetta, B. Hu, Nonequilibrium quantum fields: closed time path effective action, Wigner function and Boltzmann equation. Phys. Rev. D37, 2878 (1988)
J.M. Cornwall, R. Jackiw, E. Tomboulis, Effective action for composite operators. Phys. Rev. D10, 2428–2445 (1974)
M. Carrington, The 4PI effective action for \(\varphi ^4\) theory. Eur. Phys. J. C35, 383–392 (2004)
R. Jackiw, Functional evaluation of the effective potential. Phys. Rev. D9, 1686 (1974)
M. van Eijck, R. Kobes, C. van Weert, Transformations of real time finite temperature Feynman rules. Phys. Rev. D50 4097–4109 (1994)
W. Greiner, J. Reinhardt, Field Quantization (Springer, Berlin, 1996), pp. 215–219
P.F. Bedaque, Thermalization and pinch singularities in nonequilibrium quantum field theory. Phys. Lett. B344, 23–28 (1995)
C. Greiner, S. Leupold, Interpretation and resolution of pinch singularities in nonequilibrium quantum field theory. Eur. Phys. J. C8 517–522 (1999)
T. Prokopec, M.G. Schmidt, S. Weinstock, Transport equations for chiral fermions to order \(\hbar \) and electroweak baryogenesis. Part I. Annals Phys. 314, 208–265 (2004)
T. Prokopec, M.G. Schmidt, S. Weinstock, Transport equations for chiral fermions to order \(\hbar \) and electroweak baryogenesis. Part II. Annals Phys. 314, 267–320 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Millington, P. (2014). Non-Homogeneous Backgrounds. In: Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01186-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-01186-8_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01185-1
Online ISBN: 978-3-319-01186-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)